A criterion of elementary divisor domain for distributive domains
In this paper we introduce the notion of the neat range one for Bezout duo-domains. We show that a distributive Bezout domain is an elementary divisor domain if and only if it is a duo-domain of neat range one.
Збережено в:
| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2017 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/155960 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A criterion of elementary divisor domain for distributive domains / V. Bokhonko, B.V. Zabavsky // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 1-6. — Бібліогр.: 5 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-155960 |
|---|---|
| record_format |
dspace |
| spelling |
Bokhonko, V. Zabavsky, B.V. 2019-06-17T15:51:24Z 2019-06-17T15:51:24Z 2017 A criterion of elementary divisor domain for distributive domains / V. Bokhonko, B.V. Zabavsky // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 1-6. — Бібліогр.: 5 назв. — англ. 1726-3255 2010 MSC:13F99. https://nasplib.isofts.kiev.ua/handle/123456789/155960 In this paper we introduce the notion of the neat range one for Bezout duo-domains. We show that a distributive Bezout domain is an elementary divisor domain if and only if it is a duo-domain of neat range one. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A criterion of elementary divisor domain for distributive domains Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A criterion of elementary divisor domain for distributive domains |
| spellingShingle |
A criterion of elementary divisor domain for distributive domains Bokhonko, V. Zabavsky, B.V. |
| title_short |
A criterion of elementary divisor domain for distributive domains |
| title_full |
A criterion of elementary divisor domain for distributive domains |
| title_fullStr |
A criterion of elementary divisor domain for distributive domains |
| title_full_unstemmed |
A criterion of elementary divisor domain for distributive domains |
| title_sort |
criterion of elementary divisor domain for distributive domains |
| author |
Bokhonko, V. Zabavsky, B.V. |
| author_facet |
Bokhonko, V. Zabavsky, B.V. |
| publishDate |
2017 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
In this paper we introduce the notion of the neat range one for Bezout duo-domains. We show that a distributive Bezout domain is an elementary divisor domain if and only if it is a duo-domain of neat range one.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155960 |
| citation_txt |
A criterion of elementary divisor domain for distributive domains / V. Bokhonko, B.V. Zabavsky // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 1. — С. 1-6. — Бібліогр.: 5 назв. — англ. |
| work_keys_str_mv |
AT bokhonkov acriterionofelementarydivisordomainfordistributivedomains AT zabavskybv acriterionofelementarydivisordomainfordistributivedomains AT bokhonkov criterionofelementarydivisordomainfordistributivedomains AT zabavskybv criterionofelementarydivisordomainfordistributivedomains |
| first_indexed |
2025-12-07T19:13:40Z |
| last_indexed |
2025-12-07T19:13:40Z |
| _version_ |
1850878009752420352 |